CRM: Centro De Giorgi
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From order to chaos - Pisa 2018

Convergent asymptotic expansions for Gaussian Ensembles

speaker: Yaroslav Naprienko

abstract: In this talk, first, I will tell about Wigner Semicircle Law and some results on asymptotic expansions. After that, I’ll introduce Kopelevitch’s theorem on convergent asymptotic expansion for Gaussian Unitary Ensemble. In the end, I’ll tell about generalizations of this results to all Gaussian Ensembles. Also, I’ll include some intermediate results: differential equations on the densities and their moment generating functions for all Gaussian Ensembles and explicit formulas for Kopelevitch’s theorem.

Thu 12 Apr, 14:30 - 15:20, Aula Dini
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